Radial projection and the Poincaré metric

A. Yu Solynin

doi:10.1007/BF02172471

Radial projection and the Poincaré metric

A. Yu Solynin

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.

Original language	English
Pages (from-to)	2267-2275
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	95
Issue number	3
DOIs	https://doi.org/10.1007/BF02172471
State	Published - 1999

Access to Document

10.1007/BF02172471

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Radial projection and the Poincaré metric'. Together they form a unique fingerprint.

Cite this

@article{3a6d218e15f54c9d8173e949daa1ef06,

title = "Radial projection and the Poincar{\'e} metric",

abstract = "Some estimates for the Poincar{\'e} metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.",

author = "Solynin, {A. Yu}",

year = "1999",

doi = "10.1007/BF02172471",

language = "English",

volume = "95",

pages = "2267--2275",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

number = "3",

}

TY - JOUR

T1 - Radial projection and the Poincaré metric

AU - Solynin, A. Yu

PY - 1999

Y1 - 1999

N2 - Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.

AB - Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.

UR - http://www.scopus.com/inward/record.url?scp=2142672372&partnerID=8YFLogxK

U2 - 10.1007/BF02172471

DO - 10.1007/BF02172471

M3 - Article

AN - SCOPUS:2142672372

VL - 95

SP - 2267

EP - 2275

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -